This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.
| Issue | Howard | Bayes |
|---|---|---|
| Time series | 1999 - present | 1977 - present |
| Bias in SWHS | Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. | Explicitly estimates bias in SWHS harvest and release estimates based on logbook data. |
| Species composition of releases | Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. | Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data |
| Sample size limitations | Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. | Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data. |
| Error propogation | Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. | By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region. |
Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.
Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).
Model: LB_fit_3pH
Model Run: Gen4int_indcomp_swhsR_FULL_pHB4pars_re0d_thru2024_8e+05_2025-11-02 (Naming convention: modelname_thruYEAR_iters_rundate)
Proportion of parmaters converged (Rhat <= 1.1): 0.9956
See end of document for summary of unconverged parameters.
Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)
Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.
Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.
Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
And black rockfish releases…
Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.
Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.
Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.
Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.
Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.
Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.
Figure 20.- Residuals from logbook harvests.
Figure 21.- Residuals from SWHS harvests.
Figure 22.- Residual of SWHS releases.
These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.
Figure 23.- Mean percent of harvest by charter anglers.
When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.
Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.
These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.
Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.
Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.
Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.
Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.
Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.
Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.
Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.
Our estimates of SWHS harvest bias track observations fairly
well when he have guided harvest estimates. The estimates of release
bias in the SWHS data track observed patterns to an extent, but appear
to smooth these more volatile disagreements with the logbook data. Adam
postulated in his initial start on this that some of this could be the
result of the estimates of the proportion guided. This value was not
modelled with a trend and thus applies a constant estimate when
hindcasting. Data on these relationships could greatly improve this
model.
Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.
We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.
Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.
Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.
Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.
Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.
Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.
Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.
## NULL
Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.
Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.
Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.
Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.
Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.
The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3793103
The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.05 while 0.95 are less than 1.1.
Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.
variable | area_n | year | user | mean | median | lower | upper | Rhat | sd | skew | area |
|---|---|---|---|---|---|---|---|---|---|---|---|
p_black | 11 | 18 | 2 | 0.879 | 0.917 | 0.558 | 0.988 | 1.011 | 0.113 | -0.337 | CSEO |
p_yellow | 13 | 1 | 1 | 0.420 | 0.363 | 0.126 | 0.980 | 1.057 | 0.225 | 0.254 | NSEI |
p_yellow | 13 | 1 | 2 | 0.424 | 0.371 | 0.133 | 0.978 | 1.054 | 0.223 | 0.238 | NSEI |
p_yellow | 13 | 10 | 1 | 0.423 | 0.369 | 0.126 | 0.980 | 1.051 | 0.225 | 0.240 | NSEI |
p_yellow | 13 | 10 | 2 | 0.424 | 0.370 | 0.126 | 0.978 | 1.062 | 0.225 | 0.241 | NSEI |
p_yellow | 13 | 11 | 1 | 0.416 | 0.362 | 0.124 | 0.979 | 1.053 | 0.227 | 0.237 | NSEI |
p_yellow | 13 | 11 | 2 | 0.420 | 0.361 | 0.123 | 0.978 | 1.051 | 0.225 | 0.262 | NSEI |
p_yellow | 13 | 12 | 1 | 0.422 | 0.371 | 0.126 | 0.976 | 1.055 | 0.223 | 0.228 | NSEI |
p_yellow | 13 | 12 | 2 | 0.426 | 0.380 | 0.127 | 0.977 | 1.052 | 0.224 | 0.206 | NSEI |
p_yellow | 13 | 13 | 1 | 0.422 | 0.371 | 0.131 | 0.977 | 1.055 | 0.222 | 0.230 | NSEI |
p_yellow | 13 | 13 | 2 | 0.427 | 0.374 | 0.128 | 0.981 | 1.049 | 0.222 | 0.238 | NSEI |
p_yellow | 13 | 14 | 1 | 0.418 | 0.367 | 0.117 | 0.977 | 1.056 | 0.225 | 0.227 | NSEI |
p_yellow | 13 | 14 | 2 | 0.427 | 0.372 | 0.131 | 0.975 | 1.057 | 0.223 | 0.247 | NSEI |
p_yellow | 13 | 15 | 1 | 0.416 | 0.362 | 0.128 | 0.978 | 1.060 | 0.223 | 0.242 | NSEI |
p_yellow | 13 | 15 | 2 | 0.419 | 0.359 | 0.128 | 0.982 | 1.055 | 0.223 | 0.269 | NSEI |
p_yellow | 13 | 16 | 1 | 0.421 | 0.366 | 0.125 | 0.979 | 1.052 | 0.224 | 0.245 | NSEI |
p_yellow | 13 | 16 | 2 | 0.422 | 0.370 | 0.124 | 0.976 | 1.054 | 0.223 | 0.233 | NSEI |
p_yellow | 13 | 17 | 1 | 0.417 | 0.361 | 0.125 | 0.976 | 1.054 | 0.223 | 0.251 | NSEI |
p_yellow | 13 | 17 | 2 | 0.428 | 0.377 | 0.125 | 0.977 | 1.053 | 0.223 | 0.229 | NSEI |
p_yellow | 13 | 18 | 1 | 0.421 | 0.368 | 0.119 | 0.979 | 1.056 | 0.225 | 0.236 | NSEI |
p_yellow | 13 | 18 | 2 | 0.421 | 0.371 | 0.119 | 0.978 | 1.050 | 0.224 | 0.223 | NSEI |
p_yellow | 13 | 19 | 1 | 0.420 | 0.367 | 0.117 | 0.975 | 1.050 | 0.224 | 0.237 | NSEI |
p_yellow | 13 | 19 | 2 | 0.426 | 0.374 | 0.132 | 0.979 | 1.054 | 0.223 | 0.233 | NSEI |
p_yellow | 13 | 2 | 1 | 0.423 | 0.370 | 0.121 | 0.978 | 1.057 | 0.225 | 0.236 | NSEI |
p_yellow | 13 | 2 | 2 | 0.424 | 0.370 | 0.127 | 0.980 | 1.060 | 0.224 | 0.241 | NSEI |
p_yellow | 13 | 20 | 1 | 0.418 | 0.363 | 0.124 | 0.980 | 1.052 | 0.224 | 0.246 | NSEI |
p_yellow | 13 | 20 | 2 | 0.423 | 0.365 | 0.130 | 0.979 | 1.055 | 0.223 | 0.260 | NSEI |
p_yellow | 13 | 21 | 1 | 0.419 | 0.364 | 0.126 | 0.977 | 1.057 | 0.223 | 0.247 | NSEI |
p_yellow | 13 | 21 | 2 | 0.423 | 0.365 | 0.133 | 0.980 | 1.052 | 0.224 | 0.259 | NSEI |
p_yellow | 13 | 22 | 1 | 0.418 | 0.362 | 0.121 | 0.979 | 1.057 | 0.223 | 0.251 | NSEI |
p_yellow | 13 | 22 | 2 | 0.420 | 0.367 | 0.124 | 0.976 | 1.053 | 0.222 | 0.239 | NSEI |
p_yellow | 13 | 23 | 1 | 0.388 | 0.333 | 0.100 | 0.972 | 1.060 | 0.228 | 0.241 | NSEI |
p_yellow | 13 | 23 | 2 | 0.472 | 0.429 | 0.155 | 0.983 | 1.040 | 0.217 | 0.198 | NSEI |
p_yellow | 13 | 24 | 1 | 0.387 | 0.328 | 0.100 | 0.974 | 1.063 | 0.227 | 0.260 | NSEI |
p_yellow | 13 | 24 | 2 | 0.470 | 0.426 | 0.155 | 0.982 | 1.052 | 0.218 | 0.202 | NSEI |
p_yellow | 13 | 25 | 1 | 0.386 | 0.332 | 0.100 | 0.975 | 1.058 | 0.224 | 0.241 | NSEI |
p_yellow | 13 | 25 | 2 | 0.470 | 0.431 | 0.152 | 0.982 | 1.051 | 0.218 | 0.179 | NSEI |
p_yellow | 13 | 26 | 1 | 0.382 | 0.320 | 0.103 | 0.971 | 1.053 | 0.227 | 0.274 | NSEI |
p_yellow | 13 | 26 | 2 | 0.466 | 0.428 | 0.152 | 0.981 | 1.050 | 0.217 | 0.175 | NSEI |
p_yellow | 13 | 27 | 1 | 0.369 | 0.309 | 0.100 | 0.969 | 1.058 | 0.221 | 0.272 | NSEI |
p_yellow | 13 | 27 | 2 | 0.462 | 0.419 | 0.154 | 0.981 | 1.042 | 0.215 | 0.200 | NSEI |
p_yellow | 13 | 28 | 1 | 0.383 | 0.331 | 0.100 | 0.960 | 1.043 | 0.215 | 0.242 | NSEI |
p_yellow | 13 | 28 | 2 | 0.465 | 0.429 | 0.155 | 0.975 | 1.038 | 0.210 | 0.171 | NSEI |
p_yellow | 13 | 29 | 1 | 0.362 | 0.314 | 0.103 | 0.926 | 1.036 | 0.202 | 0.238 | NSEI |
p_yellow | 13 | 29 | 2 | 0.456 | 0.423 | 0.151 | 0.953 | 1.035 | 0.201 | 0.164 | NSEI |
p_yellow | 13 | 3 | 1 | 0.423 | 0.371 | 0.117 | 0.977 | 1.061 | 0.224 | 0.232 | NSEI |
p_yellow | 13 | 3 | 2 | 0.423 | 0.369 | 0.126 | 0.980 | 1.054 | 0.224 | 0.242 | NSEI |
p_yellow | 13 | 4 | 1 | 0.419 | 0.365 | 0.119 | 0.979 | 1.055 | 0.225 | 0.240 | NSEI |
p_yellow | 13 | 4 | 2 | 0.424 | 0.368 | 0.123 | 0.980 | 1.053 | 0.226 | 0.248 | NSEI |
p_yellow | 13 | 5 | 1 | 0.420 | 0.367 | 0.124 | 0.976 | 1.051 | 0.225 | 0.235 | NSEI |
p_yellow | 13 | 5 | 2 | 0.422 | 0.367 | 0.127 | 0.978 | 1.043 | 0.226 | 0.244 | NSEI |
p_yellow | 13 | 6 | 1 | 0.417 | 0.361 | 0.119 | 0.982 | 1.047 | 0.226 | 0.248 | NSEI |
p_yellow | 13 | 6 | 2 | 0.425 | 0.375 | 0.120 | 0.979 | 1.054 | 0.225 | 0.222 | NSEI |
p_yellow | 13 | 7 | 1 | 0.415 | 0.361 | 0.124 | 0.979 | 1.058 | 0.226 | 0.239 | NSEI |
p_yellow | 13 | 7 | 2 | 0.426 | 0.373 | 0.125 | 0.979 | 1.063 | 0.221 | 0.239 | NSEI |
p_yellow | 13 | 8 | 1 | 0.423 | 0.371 | 0.122 | 0.979 | 1.053 | 0.223 | 0.233 | NSEI |
p_yellow | 13 | 8 | 2 | 0.424 | 0.371 | 0.125 | 0.978 | 1.053 | 0.224 | 0.236 | NSEI |
p_yellow | 13 | 9 | 1 | 0.419 | 0.367 | 0.124 | 0.980 | 1.053 | 0.222 | 0.234 | NSEI |
p_yellow | 13 | 9 | 2 | 0.421 | 0.366 | 0.128 | 0.977 | 1.051 | 0.224 | 0.245 | NSEI |
p_yellow | 14 | 1 | 1 | 0.579 | 0.559 | 0.249 | 0.984 | 1.018 | 0.190 | 0.106 | NSEO |
p_yellow | 14 | 1 | 2 | 0.618 | 0.610 | 0.292 | 0.989 | 1.017 | 0.181 | 0.044 | NSEO |
p_yellow | 14 | 10 | 1 | 0.579 | 0.563 | 0.262 | 0.983 | 1.012 | 0.186 | 0.086 | NSEO |
p_yellow | 14 | 10 | 2 | 0.617 | 0.606 | 0.296 | 0.987 | 1.012 | 0.181 | 0.061 | NSEO |
p_yellow | 14 | 11 | 1 | 0.578 | 0.563 | 0.251 | 0.983 | 1.013 | 0.187 | 0.080 | NSEO |
p_yellow | 14 | 11 | 2 | 0.621 | 0.616 | 0.275 | 0.989 | 1.010 | 0.184 | 0.027 | NSEO |
p_yellow | 14 | 12 | 1 | 0.581 | 0.569 | 0.254 | 0.984 | 1.012 | 0.187 | 0.064 | NSEO |
p_yellow | 14 | 12 | 2 | 0.621 | 0.614 | 0.288 | 0.989 | 1.012 | 0.180 | 0.039 | NSEO |
p_yellow | 14 | 13 | 1 | 0.580 | 0.569 | 0.244 | 0.983 | 1.014 | 0.189 | 0.058 | NSEO |
p_yellow | 14 | 14 | 1 | 0.580 | 0.571 | 0.250 | 0.986 | 1.018 | 0.186 | 0.048 | NSEO |
p_yellow | 14 | 14 | 2 | 0.619 | 0.609 | 0.283 | 0.987 | 1.010 | 0.181 | 0.055 | NSEO |
p_yellow | 14 | 15 | 1 | 0.578 | 0.561 | 0.252 | 0.985 | 1.017 | 0.189 | 0.090 | NSEO |
p_yellow | 14 | 15 | 2 | 0.620 | 0.615 | 0.289 | 0.988 | 1.010 | 0.181 | 0.028 | NSEO |
p_yellow | 14 | 16 | 1 | 0.580 | 0.562 | 0.253 | 0.984 | 1.010 | 0.190 | 0.095 | NSEO |
p_yellow | 14 | 17 | 1 | 0.577 | 0.563 | 0.249 | 0.984 | 1.013 | 0.190 | 0.074 | NSEO |
p_yellow | 14 | 17 | 2 | 0.615 | 0.607 | 0.275 | 0.987 | 1.015 | 0.186 | 0.043 | NSEO |
p_yellow | 14 | 18 | 1 | 0.573 | 0.554 | 0.250 | 0.984 | 1.013 | 0.188 | 0.101 | NSEO |
p_yellow | 14 | 18 | 2 | 0.618 | 0.611 | 0.288 | 0.989 | 1.015 | 0.180 | 0.039 | NSEO |
p_yellow | 14 | 19 | 1 | 0.580 | 0.560 | 0.241 | 0.987 | 1.017 | 0.188 | 0.106 | NSEO |
p_yellow | 14 | 19 | 2 | 0.622 | 0.613 | 0.294 | 0.988 | 1.012 | 0.181 | 0.050 | NSEO |
p_yellow | 14 | 2 | 1 | 0.582 | 0.569 | 0.254 | 0.986 | 1.013 | 0.188 | 0.069 | NSEO |
p_yellow | 14 | 20 | 1 | 0.579 | 0.564 | 0.258 | 0.986 | 1.012 | 0.187 | 0.080 | NSEO |
p_yellow | 14 | 21 | 1 | 0.578 | 0.565 | 0.255 | 0.986 | 1.016 | 0.188 | 0.069 | NSEO |
p_yellow | 14 | 21 | 2 | 0.617 | 0.609 | 0.283 | 0.989 | 1.014 | 0.183 | 0.044 | NSEO |
p_yellow | 14 | 22 | 1 | 0.583 | 0.569 | 0.259 | 0.985 | 1.016 | 0.185 | 0.076 | NSEO |
p_yellow | 14 | 22 | 2 | 0.620 | 0.609 | 0.298 | 0.988 | 1.010 | 0.181 | 0.061 | NSEO |
p_yellow | 14 | 23 | 2 | 0.622 | 0.612 | 0.287 | 0.990 | 1.011 | 0.180 | 0.055 | NSEO |
p_yellow | 14 | 24 | 1 | 0.608 | 0.599 | 0.292 | 0.983 | 1.011 | 0.174 | 0.052 | NSEO |
p_yellow | 14 | 24 | 2 | 0.621 | 0.613 | 0.293 | 0.988 | 1.014 | 0.183 | 0.044 | NSEO |
p_yellow | 14 | 25 | 1 | 0.594 | 0.579 | 0.272 | 0.986 | 1.016 | 0.179 | 0.084 | NSEO |
p_yellow | 14 | 25 | 2 | 0.616 | 0.606 | 0.280 | 0.989 | 1.012 | 0.185 | 0.054 | NSEO |
p_yellow | 14 | 26 | 1 | 0.588 | 0.574 | 0.260 | 0.987 | 1.013 | 0.186 | 0.075 | NSEO |
p_yellow | 14 | 26 | 2 | 0.618 | 0.612 | 0.280 | 0.990 | 1.014 | 0.185 | 0.032 | NSEO |
p_yellow | 14 | 27 | 1 | 0.602 | 0.593 | 0.264 | 0.986 | 1.012 | 0.182 | 0.049 | NSEO |
p_yellow | 14 | 27 | 2 | 0.622 | 0.614 | 0.277 | 0.989 | 1.015 | 0.181 | 0.044 | NSEO |
p_yellow | 14 | 28 | 1 | 0.584 | 0.571 | 0.260 | 0.983 | 1.013 | 0.181 | 0.072 | NSEO |
p_yellow | 14 | 28 | 2 | 0.615 | 0.608 | 0.269 | 0.987 | 1.010 | 0.184 | 0.038 | NSEO |
p_yellow | 14 | 29 | 1 | 0.584 | 0.576 | 0.242 | 0.971 | 1.011 | 0.182 | 0.044 | NSEO |
p_yellow | 14 | 29 | 2 | 0.614 | 0.609 | 0.274 | 0.978 | 1.011 | 0.179 | 0.028 | NSEO |
p_yellow | 14 | 3 | 1 | 0.577 | 0.565 | 0.248 | 0.986 | 1.016 | 0.192 | 0.063 | NSEO |
p_yellow | 14 | 3 | 2 | 0.625 | 0.619 | 0.292 | 0.989 | 1.012 | 0.178 | 0.034 | NSEO |
p_yellow | 14 | 4 | 1 | 0.579 | 0.566 | 0.243 | 0.984 | 1.012 | 0.190 | 0.069 | NSEO |
p_yellow | 14 | 4 | 2 | 0.620 | 0.612 | 0.284 | 0.988 | 1.014 | 0.182 | 0.044 | NSEO |
p_black | 14 | 4 | 1 | 0.920 | 0.947 | 0.682 | 0.993 | 1.013 | 0.083 | -0.324 | NSEO |
p_yellow | 14 | 5 | 1 | 0.579 | 0.568 | 0.250 | 0.985 | 1.013 | 0.191 | 0.058 | NSEO |
p_yellow | 14 | 5 | 2 | 0.620 | 0.611 | 0.296 | 0.988 | 1.015 | 0.180 | 0.050 | NSEO |
p_yellow | 14 | 6 | 1 | 0.577 | 0.561 | 0.254 | 0.984 | 1.011 | 0.187 | 0.086 | NSEO |
p_yellow | 14 | 6 | 2 | 0.623 | 0.620 | 0.291 | 0.988 | 1.011 | 0.182 | 0.017 | NSEO |
p_yellow | 14 | 7 | 1 | 0.576 | 0.560 | 0.248 | 0.986 | 1.014 | 0.190 | 0.084 | NSEO |
p_yellow | 14 | 7 | 2 | 0.619 | 0.613 | 0.287 | 0.987 | 1.015 | 0.184 | 0.033 | NSEO |
p_yellow | 14 | 8 | 2 | 0.621 | 0.614 | 0.283 | 0.990 | 1.013 | 0.182 | 0.038 | NSEO |
p_yellow | 14 | 9 | 1 | 0.578 | 0.560 | 0.256 | 0.985 | 1.014 | 0.188 | 0.096 | NSEO |
p_yellow | 14 | 9 | 2 | 0.620 | 0.609 | 0.295 | 0.988 | 1.015 | 0.181 | 0.061 | NSEO |
p_pelagic | 16 | 1 | 1 | 0.370 | 0.363 | 0.120 | 0.656 | 1.052 | 0.145 | 0.048 | SSEO |
p_pelagic | 16 | 1 | 2 | 0.349 | 0.340 | 0.108 | 0.638 | 1.052 | 0.142 | 0.063 | SSEO |
p_pelagic | 16 | 10 | 1 | 0.372 | 0.364 | 0.130 | 0.664 | 1.036 | 0.141 | 0.057 | SSEO |
p_pelagic | 16 | 10 | 2 | 0.353 | 0.344 | 0.117 | 0.641 | 1.048 | 0.140 | 0.064 | SSEO |
p_pelagic | 16 | 11 | 1 | 0.375 | 0.369 | 0.132 | 0.670 | 1.045 | 0.143 | 0.042 | SSEO |
p_pelagic | 16 | 11 | 2 | 0.357 | 0.349 | 0.115 | 0.643 | 1.054 | 0.140 | 0.057 | SSEO |
p_pelagic | 16 | 12 | 1 | 0.377 | 0.371 | 0.134 | 0.661 | 1.039 | 0.139 | 0.043 | SSEO |
p_pelagic | 16 | 12 | 2 | 0.356 | 0.348 | 0.114 | 0.630 | 1.053 | 0.136 | 0.059 | SSEO |
p_pelagic | 16 | 13 | 1 | 0.380 | 0.373 | 0.141 | 0.663 | 1.039 | 0.139 | 0.051 | SSEO |
p_pelagic | 16 | 13 | 2 | 0.361 | 0.351 | 0.127 | 0.641 | 1.051 | 0.135 | 0.074 | SSEO |
p_pelagic | 16 | 14 | 1 | 0.365 | 0.358 | 0.137 | 0.638 | 1.039 | 0.132 | 0.053 | SSEO |
p_pelagic | 16 | 14 | 2 | 0.358 | 0.350 | 0.131 | 0.626 | 1.039 | 0.132 | 0.060 | SSEO |
p_pelagic | 16 | 15 | 1 | 0.373 | 0.364 | 0.141 | 0.654 | 1.028 | 0.133 | 0.068 | SSEO |
p_pelagic | 16 | 15 | 2 | 0.359 | 0.351 | 0.128 | 0.640 | 1.051 | 0.132 | 0.061 | SSEO |
p_pelagic | 16 | 16 | 1 | 0.369 | 0.357 | 0.137 | 0.649 | 1.035 | 0.136 | 0.088 | SSEO |
p_pelagic | 16 | 16 | 2 | 0.362 | 0.347 | 0.140 | 0.638 | 1.026 | 0.132 | 0.114 | SSEO |
p_pelagic | 16 | 17 | 1 | 0.421 | 0.417 | 0.188 | 0.683 | 1.029 | 0.130 | 0.031 | SSEO |
p_pelagic | 16 | 17 | 2 | 0.378 | 0.368 | 0.145 | 0.654 | 1.036 | 0.134 | 0.075 | SSEO |
p_pelagic | 16 | 18 | 1 | 0.406 | 0.400 | 0.172 | 0.672 | 1.032 | 0.133 | 0.045 | SSEO |
p_pelagic | 16 | 18 | 2 | 0.374 | 0.369 | 0.149 | 0.651 | 1.027 | 0.133 | 0.038 | SSEO |
p_pelagic | 16 | 19 | 1 | 0.400 | 0.393 | 0.175 | 0.662 | 1.024 | 0.128 | 0.055 | SSEO |
p_pelagic | 16 | 19 | 2 | 0.379 | 0.371 | 0.160 | 0.649 | 1.022 | 0.129 | 0.062 | SSEO |
p_pelagic | 16 | 2 | 1 | 0.366 | 0.361 | 0.119 | 0.658 | 1.051 | 0.143 | 0.035 | SSEO |
p_pelagic | 16 | 2 | 2 | 0.348 | 0.341 | 0.107 | 0.633 | 1.056 | 0.141 | 0.050 | SSEO |
p_pelagic | 16 | 20 | 1 | 0.400 | 0.395 | 0.178 | 0.661 | 1.014 | 0.127 | 0.039 | SSEO |
p_pelagic | 16 | 20 | 2 | 0.387 | 0.380 | 0.161 | 0.647 | 1.018 | 0.128 | 0.055 | SSEO |
p_pelagic | 16 | 21 | 1 | 0.388 | 0.380 | 0.168 | 0.659 | 1.019 | 0.127 | 0.063 | SSEO |
p_pelagic | 16 | 21 | 2 | 0.380 | 0.373 | 0.161 | 0.645 | 1.022 | 0.126 | 0.056 | SSEO |
p_pelagic | 16 | 22 | 2 | 0.387 | 0.383 | 0.167 | 0.645 | 1.011 | 0.123 | 0.033 | SSEO |
p_pelagic | 16 | 3 | 1 | 0.368 | 0.361 | 0.122 | 0.659 | 1.048 | 0.143 | 0.049 | SSEO |
p_pelagic | 16 | 3 | 2 | 0.348 | 0.338 | 0.110 | 0.627 | 1.064 | 0.141 | 0.071 | SSEO |
p_dsr | 16 | 31 | 1 | 0.402 | 0.401 | 0.376 | 0.433 | 1.665 | 0.015 | 0.066 | SSEO |
p_pelagic | 16 | 4 | 1 | 0.367 | 0.362 | 0.120 | 0.660 | 1.048 | 0.143 | 0.035 | SSEO |
p_pelagic | 16 | 4 | 2 | 0.351 | 0.344 | 0.103 | 0.648 | 1.050 | 0.143 | 0.049 | SSEO |
p_pelagic | 16 | 42 | 1 | 0.832 | 0.832 | 0.826 | 0.839 | 1.113 | 0.003 | 0.000 | SSEO |
p_yellow | 16 | 42 | 1 | 0.404 | 0.404 | 0.384 | 0.427 | 1.050 | 0.011 | 0.000 | SSEO |
p_dsr | 16 | 42 | 1 | 0.469 | 0.479 | 0.412 | 0.514 | 3.649 | 0.030 | -0.330 | SSEO |
p_slope | 16 | 42 | 1 | 0.145 | 0.132 | 0.106 | 0.204 | 4.992 | 0.032 | 0.411 | SSEO |
p_pelagic | 16 | 5 | 1 | 0.367 | 0.360 | 0.118 | 0.662 | 1.052 | 0.145 | 0.048 | SSEO |
p_pelagic | 16 | 5 | 2 | 0.350 | 0.343 | 0.112 | 0.641 | 1.048 | 0.140 | 0.050 | SSEO |
p_pelagic | 16 | 6 | 1 | 0.369 | 0.361 | 0.127 | 0.654 | 1.066 | 0.142 | 0.056 | SSEO |
p_pelagic | 16 | 6 | 2 | 0.348 | 0.342 | 0.107 | 0.631 | 1.062 | 0.140 | 0.043 | SSEO |
p_pelagic | 16 | 7 | 1 | 0.372 | 0.366 | 0.121 | 0.665 | 1.053 | 0.143 | 0.042 | SSEO |
p_pelagic | 16 | 7 | 2 | 0.349 | 0.344 | 0.109 | 0.634 | 1.056 | 0.140 | 0.036 | SSEO |
p_pelagic | 16 | 8 | 1 | 0.371 | 0.363 | 0.122 | 0.658 | 1.060 | 0.143 | 0.056 | SSEO |
p_pelagic | 16 | 8 | 2 | 0.346 | 0.338 | 0.113 | 0.642 | 1.042 | 0.140 | 0.057 | SSEO |
p_pelagic | 16 | 9 | 1 | 0.372 | 0.365 | 0.128 | 0.663 | 1.050 | 0.141 | 0.050 | SSEO |
p_pelagic | 16 | 9 | 2 | 0.355 | 0.349 | 0.115 | 0.647 | 1.048 | 0.141 | 0.042 | SSEO |
p_black | 8 | 40 | 1 | 0.475 | 0.416 | 0.340 | 0.962 | 1.024 | 0.176 | 0.335 | afognak |
p_black | 8 | 48 | 1 | 0.534 | 0.494 | 0.414 | 0.967 | 1.017 | 0.141 | 0.283 | afognak |
Table Xb. True parameters with an Rhat in excess of 1.1
variable | area_n | year/species | mean | median | lower | upper | Rhat | sd | skew | year | area |
|---|---|---|---|---|---|---|---|---|---|---|---|
tau_beta1_pH | 1 | 1 | 6.567 | 1.008 | 0.060 | 55.310 | 1.158 | 14.540 | 0.382 | CI | |
beta3_pH | 10 | 1 | 33.008 | 32.518 | 30.371 | 43.355 | 1.311 | 2.484 | 0.197 | northeast | |
beta2_yellow | 13 | -7.169 | -6.655 | -19.459 | -0.397 | 1.113 | 5.377 | -0.096 | NSEI | ||
beta3_pH | 16 | 4 | 41.524 | 41.514 | 40.904 | 42.322 | 1.203 | 0.376 | 0.027 | SSEO | |
beta0_pelagic | 16 | -0.618 | -0.495 | -1.664 | 0.024 | 1.171 | 0.474 | -0.259 | SSEO | ||
beta1_pelagic | 16 | 1.816 | 1.713 | 0.831 | 3.050 | 1.224 | 0.657 | 0.157 | SSEO | ||
beta0_pH | 2 | 1 | 1.562 | 1.508 | 1.090 | 2.047 | 2.901 | 0.273 | 0.198 | NG | |
beta1_pH | 2 | 1 | 1.329 | 1.443 | 0.432 | 2.399 | 2.891 | 0.561 | -0.203 | NG |
Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.
Statistic | non.BSAI.SOKO.Harv | BSAI.SOKO.Harv | non.BSAI.SOKO.Rel | BSAI.SOKO.Rel |
|---|---|---|---|---|
n unconverged at Rhat = 1.01 | 418.00 | 183.00 | 1,001.00 | 343.00 |
Prop. of total | 0.70 | 0.30 | 0.74 | 0.26 |
Prop. median less than 1 | 0.32 | 0.27 | 0.34 | 0.41 |
Prop. median less than 10 | 0.46 | 0.60 | 0.55 | 0.77 |
Prop. median less than 50 | 0.61 | 0.85 | 0.71 | 0.83 |
Median of the median values | 16.59 | 6.73 | 5.84 | 1.80 |
Mean of the median values | 408.74 | 94.17 | 218.02 | 89.32 |
Mean skew of posteriors | 0.26 | 0.28 | 0.27 | 0.24 |
Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.
Statistic | non.BSAI.SOKO.Harv | BSAI.SOKO.Harv | non.BSAI.SOKO.Rel | BSAI.SOKO.Rel |
|---|---|---|---|---|
n unconverged at Rhat = 1.1 | 6.00 | 10.00 | 65.00 | 34.00 |
Prop. of total | 0.38 | 0.62 | 0.66 | 0.34 |
Prop. median less than 1 | 1.00 | 0.40 | 0.69 | 0.65 |
Prop. median less than 10 | 1.00 | 0.90 | 0.82 | 0.94 |
Prop. median less than 50 | 1.00 | 1.00 | 0.85 | 0.94 |
Median of the median values | 0.00 | 1.37 | 0.04 | 0.26 |
Mean of the median values | 0.01 | 3.71 | 142.91 | 5.54 |
Mean skew of posteriors | 0.17 | 0.21 | 0.16 | 0.17 |
Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.
variable | Freq |
|---|---|
beta0_pelagic | 1 |
beta0_pH | 1 |
beta1_pelagic | 1 |
beta1_pH | 1 |
beta2_yellow | 1 |
beta3_pH | 2 |
H_ayg | 1 |
Hb_ay | 1 |
Hb_ayg | 1 |
Hb_ayu | 1 |
Hd_ay | 1 |
Hd_ayg | 2 |
Ho_ay | 2 |
Ho_ayg | 1 |
Ho_ayu | 7 |
Hp_ay | 1 |
Hp_ayg | 1 |
Hp_ayu | 1 |
Hs_ay | 2 |
Hs_ayg | 2 |
Hs_ayu | 3 |
Hy_ay | 3 |
Hy_ayu | 3 |
p_dsr | 2 |
p_pelagic | 1 |
p_slope | 3 |
pH | 19 |
R_ay | 1 |
R_ayg | 2 |
R_ayu | 1 |
Rb_ayg | 2 |
Rd_ay | 6 |
Rd_ayg | 6 |
Rd_ayu | 6 |
re_dsr | 2 |
re_pH | 60 |
re_slope | 2 |
Ro_ay | 20 |
Ro_ayg | 11 |
Ro_ayu | 47 |
Rp_ayg | 1 |
Rs_ay | 9 |
Rs_ayg | 9 |
Rs_ayu | 19 |
Ry_ay | 11 |
Ry_ayg | 4 |
Ry_ayu | 21 |
tau_beta1_pH | 1 |
| Parameter | mean | sd | Lower_CI | Median | Upper_CI |
|---|---|---|---|---|---|
| mu_bc_H[1] | -0.017 | 0.067 | -0.143 | -0.019 | 0.123 |
| mu_bc_H[2] | 0.068 | 0.053 | -0.032 | 0.066 | 0.180 |
| mu_bc_H[3] | -0.275 | 0.066 | -0.403 | -0.278 | -0.141 |
| mu_bc_H[4] | -0.931 | 0.182 | -1.293 | -0.928 | -0.583 |
| mu_bc_H[5] | 1.388 | 1.232 | 0.094 | 1.091 | 4.525 |
| mu_bc_H[6] | -2.395 | 0.306 | -2.973 | -2.399 | -1.780 |
| mu_bc_H[7] | -0.451 | 0.099 | -0.656 | -0.450 | -0.258 |
| mu_bc_H[8] | 0.237 | 0.343 | -0.341 | 0.210 | 1.020 |
| mu_bc_H[9] | -0.249 | 0.124 | -0.485 | -0.251 | 0.003 |
| mu_bc_H[10] | 0.055 | 0.065 | -0.071 | 0.053 | 0.188 |
| mu_bc_H[11] | -0.126 | 0.037 | -0.199 | -0.125 | -0.052 |
| mu_bc_H[12] | -0.249 | 0.107 | -0.470 | -0.245 | -0.041 |
| mu_bc_H[13] | -0.160 | 0.073 | -0.305 | -0.162 | -0.016 |
| mu_bc_H[14] | -0.308 | 0.090 | -0.488 | -0.306 | -0.137 |
| mu_bc_H[15] | -0.333 | 0.046 | -0.418 | -0.334 | -0.239 |
| mu_bc_H[16] | -0.156 | 0.371 | -0.801 | -0.183 | 0.661 |
| mu_bc_R[1] | 1.044 | 0.120 | 0.802 | 1.045 | 1.283 |
| mu_bc_R[2] | 1.018 | 0.075 | 0.867 | 1.021 | 1.162 |
| mu_bc_R[3] | 0.243 | 0.093 | 0.052 | 0.247 | 0.417 |
| mu_bc_R[4] | 0.677 | 0.200 | 0.271 | 0.685 | 1.049 |
| mu_bc_R[5] | 1.689 | 0.381 | 0.946 | 1.698 | 2.428 |
| mu_bc_R[6] | -1.436 | 0.334 | -2.075 | -1.435 | -0.779 |
| mu_bc_R[7] | 0.513 | 0.169 | 0.162 | 0.518 | 0.836 |
| mu_bc_R[8] | 0.648 | 0.149 | 0.369 | 0.642 | 0.943 |
| mu_bc_R[9] | 0.401 | 0.167 | 0.048 | 0.409 | 0.704 |
| mu_bc_R[10] | 0.904 | 0.105 | 0.701 | 0.902 | 1.108 |
| mu_bc_R[11] | 1.105 | 0.074 | 0.961 | 1.107 | 1.256 |
| mu_bc_R[12] | 0.880 | 0.162 | 0.565 | 0.883 | 1.202 |
| mu_bc_R[13] | 1.042 | 0.091 | 0.859 | 1.045 | 1.218 |
| mu_bc_R[14] | 0.866 | 0.123 | 0.614 | 0.867 | 1.104 |
| mu_bc_R[15] | 0.806 | 0.095 | 0.622 | 0.808 | 0.990 |
| mu_bc_R[16] | 1.360 | 0.115 | 1.124 | 1.362 | 1.583 |
| tau_pH[1] | 2.398 | 0.191 | 2.031 | 2.394 | 2.784 |
| tau_pH[2] | 1.630 | 0.155 | 1.350 | 1.622 | 1.952 |
| tau_pH[3] | 1.217 | 0.113 | 1.008 | 1.212 | 1.454 |
| tau_pH[4] | 1.090 | 0.147 | 0.832 | 1.078 | 1.411 |
| tau_pH[5] | 0.439 | 0.078 | 0.304 | 0.433 | 0.603 |
| beta0_pH[1,1] | 0.549 | 0.181 | 0.168 | 0.557 | 0.871 |
| beta0_pH[2,1] | 1.562 | 0.273 | 1.090 | 1.508 | 2.047 |
| beta0_pH[3,1] | 1.421 | 0.213 | 0.907 | 1.440 | 1.783 |
| beta0_pH[4,1] | 1.605 | 0.235 | 1.101 | 1.620 | 2.023 |
| beta0_pH[5,1] | -0.771 | 0.406 | -1.722 | -0.723 | -0.140 |
| beta0_pH[6,1] | -0.524 | 0.494 | -1.942 | -0.381 | 0.080 |
| beta0_pH[7,1] | 0.758 | 0.011 | 0.737 | 0.758 | 0.779 |
| beta0_pH[8,1] | -0.526 | 0.338 | -1.308 | -0.499 | -0.006 |
| beta0_pH[9,1] | -0.293 | 0.288 | -0.911 | -0.272 | 0.211 |
| beta0_pH[10,1] | 0.250 | 0.241 | -0.298 | 0.265 | 0.668 |
| beta0_pH[11,1] | 0.122 | 0.275 | -0.433 | 0.122 | 0.628 |
| beta0_pH[12,1] | 0.620 | 0.193 | 0.208 | 0.625 | 0.983 |
| beta0_pH[13,1] | -0.665 | 0.145 | -0.972 | -0.659 | -0.397 |
| beta0_pH[14,1] | 0.023 | 0.181 | -0.344 | 0.024 | 0.358 |
| beta0_pH[15,1] | 0.066 | 0.201 | -0.402 | 0.082 | 0.415 |
| beta0_pH[16,1] | -0.863 | 0.215 | -1.319 | -0.856 | -0.458 |
| beta0_pH[1,2] | 2.563 | 0.082 | 2.404 | 2.562 | 2.732 |
| beta0_pH[2,2] | 3.079 | 0.022 | 3.038 | 3.079 | 3.122 |
| beta0_pH[3,2] | 3.624 | 0.040 | 3.546 | 3.624 | 3.703 |
| beta0_pH[4,2] | 2.936 | 0.019 | 2.899 | 2.935 | 2.973 |
| beta0_pH[5,2] | 4.551 | 1.515 | 2.782 | 4.210 | 8.468 |
| beta0_pH[6,2] | 3.324 | 0.156 | 3.029 | 3.322 | 3.642 |
| beta0_pH[7,2] | 2.034 | 0.050 | 1.938 | 2.034 | 2.133 |
| beta0_pH[8,2] | 2.822 | 0.066 | 2.698 | 2.820 | 2.957 |
| beta0_pH[9,2] | 3.951 | 0.213 | 3.544 | 3.946 | 4.394 |
| beta0_pH[10,2] | 3.994 | 0.130 | 3.749 | 3.991 | 4.252 |
| beta0_pH[11,2] | 1.885 | 0.009 | 1.868 | 1.886 | 1.903 |
| beta0_pH[12,2] | 1.792 | 0.066 | 1.665 | 1.791 | 1.925 |
| beta0_pH[13,2] | 2.497 | 0.027 | 2.446 | 2.498 | 2.551 |
| beta0_pH[14,2] | 1.803 | 0.024 | 1.757 | 1.803 | 1.850 |
| beta0_pH[15,2] | 2.545 | 0.017 | 2.512 | 2.544 | 2.577 |
| beta0_pH[16,2] | 2.766 | 0.025 | 2.716 | 2.765 | 2.815 |
| beta0_pH[1,3] | 1.121 | 0.351 | 0.229 | 1.181 | 1.666 |
| beta0_pH[2,3] | 2.127 | 0.017 | 2.092 | 2.126 | 2.160 |
| beta0_pH[3,3] | 2.692 | 0.024 | 2.644 | 2.692 | 2.739 |
| beta0_pH[4,3] | 2.979 | 0.034 | 2.911 | 2.979 | 3.047 |
| beta0_pH[5,3] | 3.346 | 2.136 | 0.909 | 2.858 | 8.998 |
| beta0_pH[6,3] | 1.356 | 0.374 | 0.723 | 1.328 | 2.164 |
| beta0_pH[7,3] | 0.860 | 0.049 | 0.762 | 0.859 | 0.957 |
| beta0_pH[8,3] | 0.250 | 0.301 | -0.300 | 0.282 | 0.620 |
| beta0_pH[9,3] | -2.098 | 1.043 | -4.509 | -1.992 | -0.368 |
| beta0_pH[10,3] | -0.435 | 0.837 | -2.455 | -0.327 | 0.877 |
| beta0_pH[11,3] | 1.096 | 0.511 | 0.027 | 1.130 | 2.026 |
| beta0_pH[12,3] | 0.947 | 0.652 | -0.295 | 0.946 | 2.207 |
| beta0_pH[13,3] | 0.999 | 0.481 | -0.063 | 1.013 | 1.912 |
| beta0_pH[14,3] | 0.565 | 0.430 | -0.355 | 0.595 | 1.324 |
| beta0_pH[15,3] | 0.719 | 0.413 | -0.180 | 0.742 | 1.487 |
| beta0_pH[16,3] | 1.185 | 0.606 | 0.014 | 1.161 | 2.404 |
| beta0_pH[11,4] | 0.863 | 0.461 | -0.129 | 0.893 | 1.709 |
| beta0_pH[12,4] | 0.843 | 0.668 | -0.491 | 0.825 | 2.175 |
| beta0_pH[13,4] | 0.624 | 0.539 | -0.635 | 0.689 | 1.492 |
| beta0_pH[14,4] | 0.385 | 0.429 | -0.536 | 0.415 | 1.134 |
| beta0_pH[15,4] | 0.535 | 0.527 | -0.606 | 0.608 | 1.413 |
| beta0_pH[16,4] | 0.797 | 0.553 | -0.317 | 0.791 | 1.901 |
| beta0_pH[11,5] | 2.970 | 0.153 | 2.691 | 2.963 | 3.284 |
| beta0_pH[12,5] | -0.895 | 0.507 | -1.958 | -0.883 | 0.037 |
| beta0_pH[13,5] | 4.896 | 0.413 | 4.116 | 4.876 | 5.767 |
| beta0_pH[14,5] | 3.878 | 0.363 | 3.204 | 3.854 | 4.633 |
| beta0_pH[15,5] | 2.288 | 0.122 | 2.054 | 2.284 | 2.533 |
| beta0_pH[16,5] | 0.269 | 0.068 | 0.168 | 0.259 | 0.435 |
| beta1_pH[1,1] | 2.569 | 0.469 | 1.817 | 2.510 | 3.775 |
| beta1_pH[2,1] | 1.329 | 0.561 | 0.432 | 1.443 | 2.399 |
| beta1_pH[3,1] | 1.755 | 0.425 | 1.070 | 1.709 | 2.832 |
| beta1_pH[4,1] | 1.834 | 0.414 | 1.123 | 1.798 | 2.750 |
| beta1_pH[5,1] | 2.299 | 0.529 | 1.467 | 2.244 | 3.596 |
| beta1_pH[6,1] | 2.085 | 0.791 | 1.048 | 1.883 | 4.169 |
| beta1_pH[7,1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[8,1] | 2.349 | 0.917 | 1.179 | 2.100 | 4.559 |
| beta1_pH[9,1] | 2.049 | 0.676 | 1.161 | 1.920 | 4.020 |
| beta1_pH[10,1] | 2.161 | 0.514 | 1.332 | 2.111 | 3.398 |
| beta1_pH[11,1] | 3.268 | 0.460 | 2.488 | 3.215 | 4.344 |
| beta1_pH[12,1] | 2.910 | 0.286 | 2.365 | 2.910 | 3.474 |
| beta1_pH[13,1] | 3.474 | 0.245 | 3.020 | 3.466 | 3.975 |
| beta1_pH[14,1] | 2.814 | 0.324 | 2.209 | 2.802 | 3.504 |
| beta1_pH[15,1] | 2.383 | 0.290 | 1.870 | 2.363 | 3.045 |
| beta1_pH[16,1] | 4.015 | 0.299 | 3.450 | 4.016 | 4.624 |
| beta1_pH[1,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[2,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[3,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[4,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[5,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[6,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[7,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[8,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[9,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[10,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[11,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[12,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[13,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[14,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[15,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[16,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[1,3] | 1.904 | 1.116 | 0.076 | 1.783 | 4.706 |
| beta1_pH[2,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[3,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[4,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[5,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[6,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[7,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[8,3] | 4.714 | 2.406 | 0.792 | 4.256 | 10.812 |
| beta1_pH[9,3] | 7.257 | 2.671 | 3.242 | 6.817 | 13.412 |
| beta1_pH[10,3] | 6.326 | 2.587 | 2.736 | 5.768 | 12.409 |
| beta1_pH[11,3] | 2.198 | 0.552 | 1.162 | 2.194 | 3.311 |
| beta1_pH[12,3] | 3.274 | 0.663 | 2.049 | 3.256 | 4.625 |
| beta1_pH[13,3] | 1.999 | 0.513 | 0.988 | 1.997 | 3.076 |
| beta1_pH[14,3] | 2.219 | 0.485 | 1.333 | 2.194 | 3.218 |
| beta1_pH[15,3] | 2.107 | 0.478 | 1.220 | 2.084 | 3.115 |
| beta1_pH[16,3] | 3.703 | 0.660 | 2.369 | 3.730 | 4.982 |
| beta1_pH[11,4] | 1.940 | 0.514 | 0.941 | 1.932 | 2.959 |
| beta1_pH[12,4] | 3.210 | 0.676 | 1.885 | 3.199 | 4.617 |
| beta1_pH[13,4] | 1.384 | 0.554 | 0.427 | 1.336 | 2.645 |
| beta1_pH[14,4] | 1.994 | 0.497 | 1.068 | 1.975 | 3.030 |
| beta1_pH[15,4] | 1.472 | 0.568 | 0.477 | 1.435 | 2.644 |
| beta1_pH[16,4] | 3.670 | 0.641 | 2.366 | 3.691 | 4.935 |
| beta1_pH[11,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[12,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[13,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[14,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[15,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pH[16,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[1,1] | 1.244 | 0.838 | 0.335 | 0.942 | 3.407 |
| beta2_pH[2,1] | 1.780 | 0.970 | 0.297 | 1.686 | 3.448 |
| beta2_pH[3,1] | 1.445 | 0.838 | 0.224 | 1.325 | 2.959 |
| beta2_pH[4,1] | 1.229 | 0.828 | 0.242 | 0.951 | 2.954 |
| beta2_pH[5,1] | 2.322 | 2.769 | 0.264 | 1.466 | 10.454 |
| beta2_pH[6,1] | 1.504 | 2.765 | 0.114 | 0.476 | 9.699 |
| beta2_pH[7,1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[8,1] | 1.314 | 2.367 | 0.128 | 0.417 | 9.473 |
| beta2_pH[9,1] | 1.485 | 2.427 | 0.143 | 0.580 | 9.662 |
| beta2_pH[10,1] | 1.413 | 2.417 | -1.725 | 0.778 | 9.486 |
| beta2_pH[11,1] | 0.437 | 0.239 | 0.195 | 0.376 | 0.999 |
| beta2_pH[12,1] | 1.550 | 0.811 | 0.595 | 1.286 | 3.624 |
| beta2_pH[13,1] | 1.031 | 0.454 | 0.543 | 0.917 | 2.309 |
| beta2_pH[14,1] | 1.170 | 0.689 | 0.449 | 0.957 | 3.272 |
| beta2_pH[15,1] | 1.061 | 0.654 | 0.353 | 0.873 | 3.044 |
| beta2_pH[16,1] | 1.055 | 0.331 | 0.628 | 0.993 | 1.858 |
| beta2_pH[1,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[2,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[3,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[4,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[5,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[6,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[7,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[8,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[9,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[10,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[11,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[12,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[13,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[14,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[15,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[16,2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[1,3] | 7.024 | 6.875 | 0.167 | 5.548 | 22.760 |
| beta2_pH[2,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[3,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[4,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[5,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[6,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[7,3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[8,3] | 1.391 | 1.099 | 0.129 | 1.066 | 4.203 |
| beta2_pH[9,3] | 0.307 | 0.492 | 0.089 | 0.202 | 1.187 |
| beta2_pH[10,3] | 0.442 | 0.690 | 0.109 | 0.270 | 2.006 |
| beta2_pH[11,3] | -5.869 | 4.595 | -17.625 | -4.626 | -0.592 |
| beta2_pH[12,3] | -6.640 | 4.498 | -17.968 | -5.585 | -1.229 |
| beta2_pH[13,3] | -6.090 | 4.535 | -18.011 | -4.758 | -1.074 |
| beta2_pH[14,3] | -6.066 | 4.436 | -18.014 | -4.771 | -1.163 |
| beta2_pH[15,3] | -6.263 | 4.347 | -17.555 | -5.079 | -1.116 |
| beta2_pH[16,3] | -6.257 | 4.375 | -17.881 | -4.919 | -1.546 |
| beta2_pH[11,4] | -6.192 | 4.464 | -17.347 | -5.036 | -0.797 |
| beta2_pH[12,4] | -6.493 | 4.502 | -17.701 | -5.301 | -1.161 |
| beta2_pH[13,4] | -6.184 | 4.459 | -17.266 | -4.999 | -0.847 |
| beta2_pH[14,4] | -6.280 | 4.370 | -17.660 | -5.056 | -1.215 |
| beta2_pH[15,4] | -6.246 | 4.529 | -17.669 | -5.021 | -0.840 |
| beta2_pH[16,4] | -6.654 | 4.217 | -17.378 | -5.581 | -1.648 |
| beta2_pH[11,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[12,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[13,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[14,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[15,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pH[16,5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta3_pH[1,1] | 34.922 | 1.122 | 32.834 | 34.928 | 37.362 |
| beta3_pH[2,1] | 32.715 | 1.597 | 29.633 | 32.660 | 36.202 |
| beta3_pH[3,1] | 33.006 | 1.517 | 30.083 | 32.979 | 36.497 |
| beta3_pH[4,1] | 32.640 | 1.779 | 29.512 | 32.552 | 36.365 |
| beta3_pH[5,1] | 27.692 | 1.225 | 25.970 | 27.531 | 31.065 |
| beta3_pH[6,1] | 32.978 | 3.145 | 25.607 | 33.112 | 39.792 |
| beta3_pH[7,1] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[8,1] | 35.885 | 3.851 | 28.932 | 36.513 | 42.231 |
| beta3_pH[9,1] | 32.490 | 2.967 | 27.755 | 32.000 | 39.785 |
| beta3_pH[10,1] | 33.008 | 2.484 | 30.371 | 32.518 | 43.355 |
| beta3_pH[11,1] | 31.393 | 1.144 | 29.366 | 31.375 | 33.636 |
| beta3_pH[12,1] | 30.780 | 0.492 | 29.776 | 30.805 | 31.744 |
| beta3_pH[13,1] | 31.423 | 0.548 | 30.363 | 31.408 | 32.581 |
| beta3_pH[14,1] | 32.471 | 0.738 | 31.233 | 32.416 | 34.068 |
| beta3_pH[15,1] | 30.974 | 0.726 | 29.467 | 31.006 | 32.321 |
| beta3_pH[16,1] | 30.127 | 0.354 | 29.423 | 30.132 | 30.818 |
| beta3_pH[1,2] | 34.428 | 5.546 | 25.500 | 34.477 | 43.545 |
| beta3_pH[2,2] | 34.479 | 5.521 | 25.438 | 34.607 | 43.471 |
| beta3_pH[3,2] | 30.258 | 7.239 | 18.619 | 30.064 | 42.284 |
| beta3_pH[4,2] | 30.501 | 7.101 | 18.681 | 30.557 | 42.277 |
| beta3_pH[5,2] | 30.434 | 7.217 | 18.563 | 30.349 | 42.406 |
| beta3_pH[6,2] | 30.368 | 7.259 | 18.619 | 30.376 | 42.212 |
| beta3_pH[7,2] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[8,2] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[9,2] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[10,2] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[11,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[12,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[13,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[14,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[15,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[16,2] | 24.000 | 0.000 | 24.000 | 24.000 | 24.000 |
| beta3_pH[1,3] | 38.446 | 3.219 | 30.512 | 39.648 | 42.669 |
| beta3_pH[2,3] | 34.530 | 5.466 | 25.432 | 34.617 | 43.515 |
| beta3_pH[3,3] | 30.430 | 7.063 | 18.713 | 30.345 | 42.427 |
| beta3_pH[4,3] | 30.589 | 7.195 | 18.619 | 31.004 | 42.292 |
| beta3_pH[5,3] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[6,3] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[7,3] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[8,3] | 42.023 | 1.321 | 38.503 | 42.073 | 43.857 |
| beta3_pH[9,3] | 36.203 | 1.944 | 34.521 | 35.423 | 41.856 |
| beta3_pH[10,3] | 37.788 | 2.502 | 34.632 | 37.083 | 43.286 |
| beta3_pH[11,3] | 40.722 | 1.077 | 38.909 | 40.735 | 42.719 |
| beta3_pH[12,3] | 42.019 | 0.730 | 40.310 | 42.258 | 42.851 |
| beta3_pH[13,3] | 41.361 | 0.720 | 39.931 | 41.364 | 42.730 |
| beta3_pH[14,3] | 40.488 | 0.669 | 39.130 | 40.523 | 41.780 |
| beta3_pH[15,3] | 40.637 | 0.642 | 39.160 | 40.654 | 41.849 |
| beta3_pH[16,3] | 41.840 | 0.373 | 41.030 | 41.903 | 42.548 |
| beta3_pH[11,4] | 40.557 | 1.079 | 38.719 | 40.451 | 42.993 |
| beta3_pH[12,4] | 41.898 | 0.791 | 40.288 | 42.150 | 42.908 |
| beta3_pH[13,4] | 41.868 | 1.102 | 39.721 | 41.929 | 43.780 |
| beta3_pH[14,4] | 40.434 | 0.712 | 38.973 | 40.467 | 41.725 |
| beta3_pH[15,4] | 41.317 | 1.085 | 39.045 | 41.269 | 43.384 |
| beta3_pH[16,4] | 41.524 | 0.376 | 40.904 | 41.514 | 42.322 |
| beta3_pH[11,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[12,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[13,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[14,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[15,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_pH[16,5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta4_pH[1,1] | 0.264 | 0.021 | 0.224 | 0.264 | 0.305 |
| beta4_pH[2,1] | 0.211 | 0.005 | 0.201 | 0.211 | 0.221 |
| beta4_pH[3,1] | 0.172 | 0.007 | 0.159 | 0.172 | 0.186 |
| beta4_pH[4,1] | 0.294 | 0.011 | 0.271 | 0.294 | 0.316 |
| beta4_pH[5,1] | 0.422 | 0.271 | 0.092 | 0.388 | 0.937 |
| beta4_pH[6,1] | 0.787 | 0.382 | 0.343 | 0.738 | 1.484 |
| beta4_pH[7,1] | 0.843 | 0.335 | 0.351 | 0.794 | 1.609 |
| beta4_pH[8,1] | 0.161 | 0.071 | 0.046 | 0.155 | 0.313 |
| beta4_pH[9,1] | 0.217 | 0.087 | 0.062 | 0.213 | 0.400 |
| beta4_pH[10,1] | 0.001 | 0.001 | 0.000 | 0.001 | 0.003 |
| beta4_pH[11,1] | 0.447 | 0.011 | 0.425 | 0.447 | 0.469 |
| beta4_pH[12,1] | 0.642 | 0.023 | 0.599 | 0.642 | 0.687 |
| beta4_pH[13,1] | 0.630 | 0.014 | 0.604 | 0.630 | 0.658 |
| beta4_pH[14,1] | 0.671 | 0.032 | 0.608 | 0.671 | 0.734 |
| beta4_pH[15,1] | 0.799 | 0.021 | 0.759 | 0.799 | 0.840 |
| beta4_pH[16,1] | 1.224 | 0.043 | 1.142 | 1.222 | 1.314 |
| beta4_pH[1,2] | 0.306 | 0.097 | 0.133 | 0.301 | 0.514 |
| beta4_pH[2,2] | 0.514 | 0.023 | 0.470 | 0.514 | 0.561 |
| beta4_pH[3,2] | 0.446 | 0.012 | 0.423 | 0.446 | 0.469 |
| beta4_pH[4,2] | 0.654 | 0.037 | 0.582 | 0.654 | 0.728 |
| beta4_pH[5,2] | 0.747 | 0.950 | 0.111 | 0.536 | 2.603 |
| beta4_pH[6,2] | 0.911 | 0.731 | 0.219 | 0.742 | 2.654 |
| beta4_pH[7,2] | 0.880 | 0.404 | 0.344 | 0.803 | 1.922 |
| beta4_pH[8,2] | 0.846 | 0.205 | 0.482 | 0.832 | 1.270 |
| beta4_pH[9,2] | 1.152 | 1.057 | 0.304 | 0.883 | 3.566 |
| beta4_pH[10,2] | 0.454 | 0.051 | 0.359 | 0.454 | 0.558 |
| beta4_pH[11,2] | 1.269 | 0.050 | 1.174 | 1.268 | 1.369 |
| beta4_pH[12,2] | 0.580 | 0.108 | 0.382 | 0.574 | 0.802 |
| beta4_pH[13,2] | 0.945 | 0.045 | 0.859 | 0.945 | 1.035 |
| beta4_pH[14,2] | 0.931 | 0.061 | 0.812 | 0.930 | 1.055 |
| beta4_pH[15,2] | 1.010 | 0.026 | 0.960 | 1.010 | 1.061 |
| beta4_pH[16,2] | 1.407 | 0.074 | 1.264 | 1.407 | 1.555 |
| beta4_pH[1,3] | 0.283 | 0.088 | 0.123 | 0.280 | 0.470 |
| beta4_pH[2,3] | 0.051 | 0.017 | 0.021 | 0.050 | 0.086 |
| beta4_pH[3,3] | 0.052 | 0.010 | 0.034 | 0.052 | 0.071 |
| beta4_pH[4,3] | 0.174 | 0.032 | 0.115 | 0.173 | 0.238 |
| beta4_pH[5,3] | 0.730 | 0.738 | 0.113 | 0.566 | 2.276 |
| beta4_pH[6,3] | 0.856 | 0.659 | 0.209 | 0.714 | 2.358 |
| beta4_pH[7,3] | 0.886 | 0.403 | 0.344 | 0.817 | 1.854 |
| beta4_pH[8,3] | 0.406 | 0.189 | 0.107 | 0.387 | 0.842 |
| beta4_pH[9,3] | 0.949 | 1.065 | 0.176 | 0.720 | 2.950 |
| beta4_pH[10,3] | 0.061 | 0.041 | 0.003 | 0.055 | 0.154 |
| beta4_pH[11,3] | 0.364 | 0.016 | 0.332 | 0.363 | 0.394 |
| beta4_pH[12,3] | 0.440 | 0.042 | 0.360 | 0.439 | 0.526 |
| beta4_pH[13,3] | 0.836 | 0.037 | 0.767 | 0.835 | 0.909 |
| beta4_pH[14,3] | 0.824 | 0.067 | 0.700 | 0.822 | 0.962 |
| beta4_pH[15,3] | 0.635 | 0.017 | 0.603 | 0.634 | 0.668 |
| beta4_pH[16,3] | 0.635 | 0.035 | 0.570 | 0.634 | 0.706 |
| beta4_pH[1,4] | 0.644 | 0.347 | 0.202 | 0.577 | 1.519 |
| beta4_pH[2,4] | 0.807 | 0.844 | 0.102 | 0.586 | 2.838 |
| beta4_pH[3,4] | 0.859 | 0.904 | 0.117 | 0.609 | 3.081 |
| beta4_pH[4,4] | 0.749 | 0.494 | 0.215 | 0.635 | 1.932 |
| beta4_pH[5,4] | 0.770 | 0.857 | 0.108 | 0.566 | 2.652 |
| beta4_pH[6,4] | 0.917 | 0.866 | 0.209 | 0.721 | 2.734 |
| beta4_pH[7,4] | 0.891 | 0.425 | 0.348 | 0.816 | 1.858 |
| beta4_pH[8,4] | 0.722 | 0.601 | 0.152 | 0.579 | 2.152 |
| beta4_pH[9,4] | 0.791 | 0.932 | 0.128 | 0.565 | 2.846 |
| beta4_pH[10,4] | 1.324 | 2.753 | 0.007 | 0.372 | 9.666 |
| beta4_pH[11,4] | 0.444 | 0.017 | 0.410 | 0.444 | 0.478 |
| beta4_pH[12,4] | 0.557 | 0.054 | 0.455 | 0.556 | 0.663 |
| beta4_pH[13,4] | 0.925 | 0.036 | 0.856 | 0.924 | 0.999 |
| beta4_pH[14,4] | 0.919 | 0.073 | 0.782 | 0.918 | 1.062 |
| beta4_pH[15,4] | 0.714 | 0.020 | 0.675 | 0.714 | 0.754 |
| beta4_pH[16,4] | 0.684 | 0.041 | 0.607 | 0.683 | 0.769 |
| beta4_pH[1,5] | 0.624 | 0.331 | 0.215 | 0.556 | 1.421 |
| beta4_pH[2,5] | 0.782 | 0.831 | 0.102 | 0.560 | 2.734 |
| beta4_pH[3,5] | 0.857 | 0.982 | 0.110 | 0.600 | 3.210 |
| beta4_pH[4,5] | 0.717 | 0.437 | 0.199 | 0.616 | 1.793 |
| beta4_pH[5,5] | 0.775 | 0.833 | 0.114 | 0.587 | 2.666 |
| beta4_pH[6,5] | 0.906 | 0.759 | 0.215 | 0.734 | 2.756 |
| beta4_pH[7,5] | 0.880 | 0.436 | 0.338 | 0.805 | 1.923 |
| beta4_pH[8,5] | 0.742 | 0.634 | 0.157 | 0.591 | 2.253 |
| beta4_pH[9,5] | 0.778 | 0.890 | 0.111 | 0.562 | 2.682 |
| beta4_pH[10,5] | 1.477 | 2.967 | 0.007 | 0.395 | 10.326 |
| beta4_pH[11,5] | 0.604 | 0.051 | 0.507 | 0.604 | 0.706 |
| beta4_pH[12,5] | 0.585 | 0.167 | 0.308 | 0.567 | 0.966 |
| beta4_pH[13,5] | 0.774 | 0.062 | 0.661 | 0.771 | 0.905 |
| beta4_pH[14,5] | 0.843 | 0.116 | 0.634 | 0.839 | 1.087 |
| beta4_pH[15,5] | 1.141 | 0.072 | 1.006 | 1.140 | 1.286 |
| beta4_pH[16,5] | 17.693 | 4.055 | 9.966 | 17.689 | 24.484 |
| beta0_pelagic[1] | 2.268 | 0.036 | 2.200 | 2.267 | 2.340 |
| beta0_pelagic[2] | 1.537 | 0.007 | 1.524 | 1.538 | 1.551 |
| beta0_pelagic[3] | 0.196 | 0.234 | -0.338 | 0.243 | 0.560 |
| beta0_pelagic[4] | 0.230 | 0.218 | -0.311 | 0.248 | 0.601 |
| beta0_pelagic[5] | 1.446 | 0.155 | 1.148 | 1.443 | 1.749 |
| beta0_pelagic[6] | 1.354 | 0.060 | 1.237 | 1.354 | 1.476 |
| beta0_pelagic[7] | 1.483 | 0.038 | 1.414 | 1.481 | 1.562 |
| beta0_pelagic[8] | 1.675 | 0.043 | 1.596 | 1.673 | 1.764 |
| beta0_pelagic[9] | 2.793 | 0.065 | 2.668 | 2.791 | 2.927 |
| beta0_pelagic[10] | 2.602 | 0.032 | 2.543 | 2.602 | 2.667 |
| beta0_pelagic[11] | -0.136 | 0.164 | -0.501 | -0.121 | 0.153 |
| beta0_pelagic[12] | 1.801 | 0.036 | 1.735 | 1.800 | 1.874 |
| beta0_pelagic[13] | -0.835 | 0.449 | -1.661 | -0.836 | -0.004 |
| beta0_pelagic[14] | -0.280 | 0.176 | -0.667 | -0.264 | 0.018 |
| beta0_pelagic[15] | -0.215 | 0.039 | -0.317 | -0.198 | -0.181 |
| beta0_pelagic[16] | -0.618 | 0.474 | -1.664 | -0.495 | 0.024 |
| beta1_pelagic[1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[3] | 0.749 | 0.251 | 0.318 | 0.728 | 1.345 |
| beta1_pelagic[4] | 0.818 | 0.243 | 0.395 | 0.802 | 1.408 |
| beta1_pelagic[5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[6] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[7] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[8] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[9] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[10] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[11] | 1.150 | 0.235 | 0.741 | 1.130 | 1.698 |
| beta1_pelagic[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_pelagic[13] | 2.574 | 0.578 | 1.323 | 2.635 | 3.451 |
| beta1_pelagic[14] | 1.784 | 0.443 | 1.107 | 1.712 | 2.921 |
| beta1_pelagic[15] | 0.130 | 0.197 | 0.000 | 0.021 | 0.669 |
| beta1_pelagic[16] | 1.816 | 0.657 | 0.831 | 1.713 | 3.050 |
| beta2_pelagic[1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[3] | 6.378 | 5.958 | 0.233 | 4.630 | 21.151 |
| beta2_pelagic[4] | 7.503 | 5.921 | 0.356 | 6.311 | 21.346 |
| beta2_pelagic[5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[6] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[7] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[8] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[9] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[10] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[11] | 1.807 | 1.527 | 0.276 | 1.291 | 6.103 |
| beta2_pelagic[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_pelagic[13] | 0.201 | 0.102 | 0.104 | 0.175 | 0.472 |
| beta2_pelagic[14] | 0.884 | 0.945 | 0.202 | 0.585 | 3.764 |
| beta2_pelagic[15] | 2.632 | 1.870 | 0.170 | 2.331 | 7.072 |
| beta2_pelagic[16] | 0.603 | 0.913 | 0.111 | 0.285 | 3.734 |
| beta3_pelagic[1] | 28.733 | 3.855 | 22.406 | 28.660 | 35.187 |
| beta3_pelagic[2] | 28.745 | 3.905 | 22.276 | 28.746 | 35.197 |
| beta3_pelagic[3] | 27.789 | 2.705 | 23.306 | 28.031 | 32.161 |
| beta3_pelagic[4] | 26.113 | 1.303 | 23.330 | 26.272 | 28.833 |
| beta3_pelagic[5] | 29.494 | 6.707 | 18.659 | 29.563 | 40.311 |
| beta3_pelagic[6] | 29.596 | 6.596 | 18.559 | 29.715 | 40.409 |
| beta3_pelagic[7] | 29.588 | 6.606 | 18.655 | 29.763 | 40.382 |
| beta3_pelagic[8] | 29.743 | 6.524 | 18.591 | 29.999 | 40.408 |
| beta3_pelagic[9] | 29.461 | 6.666 | 18.597 | 29.330 | 40.377 |
| beta3_pelagic[10] | 29.638 | 6.580 | 18.678 | 29.782 | 40.448 |
| beta3_pelagic[11] | 30.204 | 1.116 | 28.121 | 30.158 | 32.513 |
| beta3_pelagic[12] | 30.000 | 0.000 | 30.000 | 30.000 | 30.000 |
| beta3_pelagic[13] | 31.661 | 3.873 | 25.181 | 31.370 | 39.688 |
| beta3_pelagic[14] | 34.243 | 1.710 | 31.522 | 34.027 | 38.325 |
| beta3_pelagic[15] | 34.636 | 5.778 | 23.731 | 35.949 | 41.749 |
| beta3_pelagic[16] | 30.891 | 3.268 | 24.789 | 30.901 | 38.281 |
| beta0_yellow[1] | -0.482 | 0.078 | -0.641 | -0.484 | -0.326 |
| beta0_yellow[2] | 0.547 | 0.080 | 0.360 | 0.551 | 0.687 |
| beta0_yellow[3] | -0.214 | 0.129 | -0.480 | -0.219 | 0.013 |
| beta0_yellow[4] | 0.887 | 0.248 | 0.222 | 0.948 | 1.192 |
| beta0_yellow[5] | 0.260 | 0.322 | -0.424 | 0.283 | 0.840 |
| beta0_yellow[6] | 0.819 | 0.106 | 0.614 | 0.819 | 1.029 |
| beta0_yellow[7] | 0.996 | 0.095 | 0.805 | 0.994 | 1.179 |
| beta0_yellow[8] | 1.026 | 0.094 | 0.840 | 1.026 | 1.205 |
| beta0_yellow[9] | 0.459 | 0.103 | 0.260 | 0.457 | 0.658 |
| beta0_yellow[10] | 0.537 | 0.070 | 0.400 | 0.537 | 0.675 |
| beta0_yellow[11] | -0.192 | 0.125 | -0.457 | -0.182 | 0.019 |
| beta0_yellow[12] | -1.082 | 0.093 | -1.265 | -1.081 | -0.902 |
| beta0_yellow[13] | -1.348 | 0.160 | -1.689 | -1.337 | -1.069 |
| beta0_yellow[14] | -0.253 | 0.172 | -0.580 | -0.233 | -0.014 |
| beta0_yellow[15] | -1.256 | 0.147 | -1.623 | -1.232 | -1.038 |
| beta0_yellow[16] | -0.252 | 0.092 | -0.430 | -0.254 | -0.069 |
| beta1_yellow[1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[2] | 1.006 | 0.237 | 0.559 | 1.002 | 1.476 |
| beta1_yellow[3] | 0.478 | 0.240 | 0.022 | 0.485 | 0.921 |
| beta1_yellow[4] | 1.339 | 0.594 | 0.634 | 1.190 | 3.202 |
| beta1_yellow[5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[6] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[7] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[8] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[9] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[10] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[11] | 0.307 | 0.404 | 0.001 | 0.093 | 1.293 |
| beta1_yellow[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_yellow[13] | 1.089 | 1.188 | 0.025 | 0.757 | 5.018 |
| beta1_yellow[14] | 0.742 | 1.069 | 0.013 | 0.415 | 4.327 |
| beta1_yellow[15] | 0.166 | 0.197 | 0.011 | 0.082 | 0.689 |
| beta1_yellow[16] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[2] | -7.795 | 5.781 | -21.678 | -6.575 | -0.481 |
| beta2_yellow[3] | -7.590 | 5.686 | -21.402 | -6.383 | -0.396 |
| beta2_yellow[4] | -5.500 | 5.808 | -20.065 | -3.599 | -0.128 |
| beta2_yellow[5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[6] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[7] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[8] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[9] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[10] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[11] | -7.969 | 5.913 | -22.590 | -6.759 | -0.429 |
| beta2_yellow[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_yellow[13] | -7.169 | 5.377 | -19.459 | -6.655 | -0.397 |
| beta2_yellow[14] | -7.320 | 5.555 | -20.074 | -6.003 | -0.381 |
| beta2_yellow[15] | -7.719 | 5.722 | -21.233 | -6.573 | -0.364 |
| beta2_yellow[16] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta3_yellow[1] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[2] | 28.852 | 1.110 | 27.329 | 28.651 | 31.764 |
| beta3_yellow[3] | 32.410 | 3.231 | 23.338 | 32.572 | 38.398 |
| beta3_yellow[4] | 29.946 | 3.300 | 23.867 | 28.719 | 35.769 |
| beta3_yellow[5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[6] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[7] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[8] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[9] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[10] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[11] | 34.365 | 3.523 | 29.572 | 33.470 | 42.360 |
| beta3_yellow[12] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_yellow[13] | 33.795 | 2.804 | 29.222 | 33.908 | 40.483 |
| beta3_yellow[14] | 33.955 | 3.643 | 29.152 | 33.529 | 42.971 |
| beta3_yellow[15] | 36.649 | 3.881 | 30.343 | 36.458 | 43.587 |
| beta3_yellow[16] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta0_black[1] | 0.011 | 0.075 | -0.138 | 0.012 | 0.157 |
| beta0_black[2] | 1.855 | 0.031 | 1.795 | 1.855 | 1.919 |
| beta0_black[3] | 1.238 | 0.037 | 1.168 | 1.238 | 1.314 |
| beta0_black[4] | 2.424 | 0.048 | 2.333 | 2.422 | 2.520 |
| beta0_black[5] | 5.130 | 2.408 | 1.843 | 4.606 | 11.141 |
| beta0_black[6] | 5.212 | 2.225 | 2.626 | 4.626 | 11.187 |
| beta0_black[7] | 4.150 | 2.181 | 1.583 | 3.565 | 10.091 |
| beta0_black[8] | 0.879 | 0.215 | 0.483 | 0.870 | 1.328 |
| beta0_black[9] | 2.798 | 0.269 | 2.277 | 2.799 | 3.322 |
| beta0_black[10] | 1.287 | 0.052 | 1.183 | 1.289 | 1.386 |
| beta0_black[11] | 2.978 | 0.052 | 2.879 | 2.978 | 3.081 |
| beta0_black[12] | 4.913 | 0.192 | 4.532 | 4.910 | 5.297 |
| beta0_black[13] | 0.429 | 0.329 | 0.018 | 0.353 | 1.223 |
| beta0_black[14] | 2.853 | 0.106 | 2.637 | 2.855 | 3.054 |
| beta0_black[15] | 0.723 | 0.051 | 0.625 | 0.723 | 0.823 |
| beta0_black[16] | 3.772 | 0.072 | 3.629 | 3.772 | 3.913 |
| beta2_black[1] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[2] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[3] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[4] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[5] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[6] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[7] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[8] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[9] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[10] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[11] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[13] | -2.545 | 1.803 | -6.833 | -2.136 | -0.295 |
| beta2_black[14] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[15] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta2_black[16] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta3_black[1] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[2] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[3] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[4] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[5] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[6] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[7] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[8] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[9] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[10] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[11] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[12] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[13] | 37.440 | 3.136 | 28.044 | 38.165 | 40.884 |
| beta3_black[14] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[15] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta3_black[16] | 25.000 | 0.000 | 25.000 | 25.000 | 25.000 |
| beta4_black[1] | -0.325 | 0.092 | -0.500 | -0.326 | -0.139 |
| beta4_black[2] | 0.258 | 0.052 | 0.154 | 0.259 | 0.362 |
| beta4_black[3] | -0.719 | 0.064 | -0.848 | -0.720 | -0.595 |
| beta4_black[4] | 0.632 | 0.127 | 0.386 | 0.634 | 0.884 |
| beta4_black[5] | 0.704 | 1.302 | -1.079 | 0.460 | 3.843 |
| beta4_black[6] | 0.847 | 1.401 | -0.826 | 0.559 | 4.261 |
| beta4_black[7] | 0.727 | 1.295 | -0.953 | 0.483 | 3.969 |
| beta4_black[8] | 0.089 | 0.276 | -0.476 | 0.087 | 0.628 |
| beta4_black[9] | 1.028 | 0.830 | -0.080 | 0.859 | 3.052 |
| beta4_black[10] | 0.073 | 0.067 | -0.056 | 0.075 | 0.203 |
| beta4_black[11] | -0.608 | 0.064 | -0.731 | -0.608 | -0.485 |
| beta4_black[12] | 1.234 | 0.294 | 0.686 | 1.225 | 1.853 |
| beta4_black[13] | -1.004 | 0.077 | -1.152 | -1.003 | -0.856 |
| beta4_black[14] | 0.220 | 0.184 | -0.140 | 0.218 | 0.592 |
| beta4_black[15] | 0.002 | 0.046 | -0.089 | 0.002 | 0.093 |
| beta4_black[16] | -0.416 | 0.117 | -0.647 | -0.417 | -0.184 |
| beta0_dsr[11] | -0.329 | 0.010 | -0.348 | -0.328 | -0.310 |
| beta0_dsr[12] | 1.409 | 0.043 | 1.327 | 1.408 | 1.496 |
| beta0_dsr[13] | 0.155 | 0.022 | 0.112 | 0.154 | 0.198 |
| beta0_dsr[14] | -0.126 | 0.017 | -0.160 | -0.127 | -0.093 |
| beta0_dsr[15] | 0.206 | 0.014 | 0.178 | 0.206 | 0.233 |
| beta0_dsr[16] | 0.166 | 0.016 | 0.134 | 0.166 | 0.197 |
| beta1_dsr[11] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_dsr[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_dsr[13] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_dsr[14] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_dsr[15] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_dsr[16] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta4_dsr[11] | 0.544 | 0.036 | 0.475 | 0.544 | 0.613 |
| beta4_dsr[12] | 0.799 | 0.226 | 0.366 | 0.795 | 1.249 |
| beta4_dsr[13] | -0.078 | 0.041 | -0.160 | -0.078 | 0.002 |
| beta4_dsr[14] | -0.208 | 0.071 | -0.350 | -0.207 | -0.071 |
| beta4_dsr[15] | 0.216 | 0.022 | 0.174 | 0.216 | 0.259 |
| beta4_dsr[16] | -0.055 | 0.045 | -0.142 | -0.055 | 0.033 |
| beta0_slope[11] | -2.209 | 0.021 | -2.249 | -2.209 | -2.168 |
| beta0_slope[12] | -4.984 | 0.192 | -5.381 | -4.984 | -4.622 |
| beta0_slope[13] | -1.500 | 0.034 | -1.568 | -1.500 | -1.433 |
| beta0_slope[14] | -2.712 | 0.051 | -2.813 | -2.710 | -2.616 |
| beta0_slope[15] | -1.592 | 0.022 | -1.637 | -1.593 | -1.549 |
| beta0_slope[16] | -2.661 | 0.037 | -2.730 | -2.661 | -2.589 |
| beta1_slope[11] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_slope[12] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_slope[13] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_slope[14] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_slope[15] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta1_slope[16] | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| beta4_slope[11] | -0.333 | 0.076 | -0.489 | -0.332 | -0.183 |
| beta4_slope[12] | -4.658 | 0.815 | -6.395 | -4.614 | -3.124 |
| beta4_slope[13] | 0.326 | 0.053 | 0.221 | 0.326 | 0.434 |
| beta4_slope[14] | -0.161 | 0.152 | -0.472 | -0.158 | 0.133 |
| beta4_slope[15] | -0.360 | 0.034 | -0.429 | -0.360 | -0.296 |
| beta4_slope[16] | -0.136 | 0.102 | -0.339 | -0.133 | 0.063 |
| beta5_slope[11] | 3.065 | 0.104 | 2.870 | 3.061 | 3.270 |
| beta5_slope[12] | 2.005 | 0.390 | 1.276 | 1.989 | 2.829 |
| beta5_slope[13] | 0.877 | 0.078 | 0.726 | 0.880 | 1.029 |
| beta5_slope[14] | 3.754 | 0.352 | 3.107 | 3.736 | 4.496 |
| beta5_slope[15] | 1.305 | 0.072 | 1.166 | 1.304 | 1.445 |
| beta5_slope[16] | 2.728 | 0.237 | 2.291 | 2.720 | 3.220 |
| tau_comp[1] | 3.801 | 0.302 | 3.260 | 3.795 | 4.429 |
| tau_comp[2] | 2.863 | 0.256 | 2.404 | 2.847 | 3.396 |
| tau_comp[3] | 0.871 | 0.073 | 0.730 | 0.871 | 1.019 |
| tau_comp[4] | 1.793 | 0.274 | 1.314 | 1.777 | 2.378 |
| tau_comp[5] | 1.290 | 0.187 | 0.958 | 1.282 | 1.670 |
| sigma_H[1] | 0.208 | 0.049 | 0.121 | 0.204 | 0.310 |
| sigma_H[2] | 0.175 | 0.029 | 0.127 | 0.172 | 0.238 |
| sigma_H[3] | 0.187 | 0.040 | 0.114 | 0.185 | 0.269 |
| sigma_H[4] | 0.458 | 0.080 | 0.324 | 0.449 | 0.640 |
| sigma_H[5] | 0.960 | 0.203 | 0.599 | 0.948 | 1.395 |
| sigma_H[6] | 0.534 | 0.191 | 0.149 | 0.529 | 0.914 |
| sigma_H[7] | 0.310 | 0.061 | 0.215 | 0.303 | 0.454 |
| sigma_H[8] | 0.419 | 0.099 | 0.253 | 0.411 | 0.622 |
| sigma_H[9] | 0.510 | 0.116 | 0.327 | 0.494 | 0.778 |
| sigma_H[10] | 0.211 | 0.039 | 0.144 | 0.209 | 0.296 |
| sigma_H[11] | 0.266 | 0.043 | 0.194 | 0.263 | 0.365 |
| sigma_H[12] | 0.379 | 0.145 | 0.198 | 0.336 | 0.713 |
| sigma_H[13] | 0.217 | 0.036 | 0.156 | 0.214 | 0.297 |
| sigma_H[14] | 0.499 | 0.089 | 0.349 | 0.491 | 0.691 |
| sigma_H[15] | 0.231 | 0.038 | 0.167 | 0.228 | 0.313 |
| sigma_H[16] | 0.214 | 0.041 | 0.149 | 0.209 | 0.309 |
| lambda_H[1] | 2.133 | 3.227 | 0.076 | 1.021 | 11.178 |
| lambda_H[2] | 5.103 | 4.738 | 0.466 | 3.697 | 17.823 |
| lambda_H[3] | 5.491 | 7.875 | 0.281 | 2.914 | 27.130 |
| lambda_H[4] | 0.007 | 0.004 | 0.001 | 0.005 | 0.018 |
| lambda_H[5] | 2.674 | 6.678 | 0.023 | 0.695 | 20.697 |
| lambda_H[6] | 5.894 | 12.680 | 0.008 | 0.299 | 43.591 |
| lambda_H[7] | 0.012 | 0.009 | 0.002 | 0.010 | 0.034 |
| lambda_H[8] | 7.608 | 9.920 | 0.096 | 3.921 | 37.733 |
| lambda_H[9] | 0.015 | 0.010 | 0.003 | 0.013 | 0.041 |
| lambda_H[10] | 0.225 | 0.275 | 0.024 | 0.152 | 0.784 |
| lambda_H[11] | 0.234 | 0.345 | 0.010 | 0.114 | 1.116 |
| lambda_H[12] | 3.826 | 5.236 | 0.206 | 2.211 | 17.805 |
| lambda_H[13] | 3.110 | 2.811 | 0.260 | 2.285 | 10.419 |
| lambda_H[14] | 3.243 | 3.777 | 0.205 | 2.067 | 13.411 |
| lambda_H[15] | 0.018 | 0.018 | 0.003 | 0.014 | 0.060 |
| lambda_H[16] | 0.559 | 0.981 | 0.031 | 0.271 | 2.883 |
| mu_lambda_H[1] | 4.094 | 1.900 | 1.017 | 3.867 | 8.243 |
| mu_lambda_H[2] | 3.708 | 1.940 | 0.504 | 3.566 | 7.822 |
| mu_lambda_H[3] | 3.375 | 1.826 | 0.750 | 3.093 | 7.640 |
| sigma_lambda_H[1] | 8.152 | 4.340 | 1.695 | 7.501 | 18.254 |
| sigma_lambda_H[2] | 8.126 | 4.668 | 0.813 | 7.620 | 18.251 |
| sigma_lambda_H[3] | 6.231 | 3.989 | 1.042 | 5.397 | 16.133 |
| beta_H[1,1] | 6.489 | 1.332 | 3.299 | 6.736 | 8.474 |
| beta_H[2,1] | 9.732 | 0.637 | 8.295 | 9.793 | 10.833 |
| beta_H[3,1] | 7.840 | 0.783 | 5.998 | 7.942 | 9.164 |
| beta_H[4,1] | 10.621 | 7.704 | -4.807 | 10.616 | 25.554 |
| beta_H[5,1] | -0.306 | 2.603 | -5.689 | -0.183 | 4.171 |
| beta_H[6,1] | 3.067 | 4.363 | -7.688 | 4.577 | 8.202 |
| beta_H[7,1] | 1.103 | 5.642 | -11.397 | 1.414 | 11.100 |
| beta_H[8,1] | 1.320 | 3.978 | -2.654 | 1.235 | 3.518 |
| beta_H[9,1] | 13.662 | 5.719 | 2.514 | 13.549 | 25.445 |
| beta_H[10,1] | 6.805 | 1.840 | 2.942 | 6.839 | 10.363 |
| beta_H[11,1] | 4.871 | 3.549 | -2.983 | 5.549 | 9.899 |
| beta_H[12,1] | 2.585 | 1.059 | 0.651 | 2.521 | 4.940 |
| beta_H[13,1] | 9.072 | 0.915 | 7.147 | 9.137 | 10.625 |
| beta_H[14,1] | 2.135 | 1.041 | 0.020 | 2.156 | 4.164 |
| beta_H[15,1] | -7.046 | 3.344 | -13.310 | -7.189 | -0.078 |
| beta_H[16,1] | 3.939 | 3.007 | -0.750 | 3.479 | 10.906 |
| beta_H[1,2] | 7.773 | 0.269 | 7.228 | 7.776 | 8.274 |
| beta_H[2,2] | 9.884 | 0.165 | 9.567 | 9.885 | 10.200 |
| beta_H[3,2] | 8.801 | 0.198 | 8.416 | 8.801 | 9.209 |
| beta_H[4,2] | 3.013 | 1.470 | 0.153 | 2.980 | 6.037 |
| beta_H[5,2] | 1.757 | 0.998 | -0.154 | 1.752 | 3.752 |
| beta_H[6,2] | 6.028 | 1.071 | 3.570 | 6.192 | 7.691 |
| beta_H[7,2] | 2.409 | 1.063 | 0.503 | 2.336 | 4.699 |
| beta_H[8,2] | 3.002 | 1.123 | 1.288 | 3.156 | 4.251 |
| beta_H[9,2] | 3.131 | 1.097 | 1.056 | 3.101 | 5.422 |
| beta_H[10,2] | 8.036 | 0.369 | 7.253 | 8.042 | 8.748 |
| beta_H[11,2] | 9.822 | 0.639 | 8.862 | 9.710 | 11.256 |
| beta_H[12,2] | 3.919 | 0.362 | 3.235 | 3.910 | 4.676 |
| beta_H[13,2] | 9.157 | 0.244 | 8.715 | 9.146 | 9.639 |
| beta_H[14,2] | 4.029 | 0.344 | 3.366 | 4.032 | 4.726 |
| beta_H[15,2] | 11.548 | 0.608 | 10.288 | 11.573 | 12.705 |
| beta_H[16,2] | 4.458 | 0.812 | 2.965 | 4.440 | 6.118 |
| beta_H[1,3] | 8.455 | 0.266 | 7.981 | 8.445 | 8.986 |
| beta_H[2,3] | 9.881 | 0.151 | 9.583 | 9.881 | 10.179 |
| beta_H[3,3] | 9.471 | 0.163 | 9.146 | 9.469 | 9.800 |
| beta_H[4,3] | -2.107 | 0.862 | -3.796 | -2.082 | -0.528 |
| beta_H[5,3] | 3.890 | 0.620 | 2.579 | 3.901 | 5.082 |
| beta_H[6,3] | 8.355 | 1.161 | 6.670 | 8.057 | 10.793 |
| beta_H[7,3] | -2.585 | 0.626 | -3.785 | -2.578 | -1.369 |
| beta_H[8,3] | 5.321 | 0.540 | 4.700 | 5.241 | 6.395 |
| beta_H[9,3] | -2.663 | 0.691 | -4.107 | -2.661 | -1.355 |
| beta_H[10,3] | 8.571 | 0.278 | 8.028 | 8.570 | 9.134 |
| beta_H[11,3] | 8.504 | 0.291 | 7.871 | 8.523 | 9.021 |
| beta_H[12,3] | 5.284 | 0.304 | 4.565 | 5.320 | 5.792 |
| beta_H[13,3] | 8.861 | 0.179 | 8.488 | 8.866 | 9.207 |
| beta_H[14,3] | 5.786 | 0.268 | 5.188 | 5.807 | 6.245 |
| beta_H[15,3] | 10.274 | 0.299 | 9.679 | 10.270 | 10.878 |
| beta_H[16,3] | 5.963 | 0.614 | 4.736 | 5.987 | 7.092 |
| beta_H[1,4] | 8.096 | 0.184 | 7.724 | 8.107 | 8.429 |
| beta_H[2,4] | 9.861 | 0.130 | 9.590 | 9.868 | 10.103 |
| beta_H[3,4] | 9.968 | 0.155 | 9.624 | 9.981 | 10.248 |
| beta_H[4,4] | 11.799 | 0.461 | 10.893 | 11.807 | 12.680 |
| beta_H[5,4] | 5.582 | 0.737 | 4.401 | 5.504 | 7.229 |
| beta_H[6,4] | 7.194 | 0.901 | 5.310 | 7.441 | 8.458 |
| beta_H[7,4] | 8.541 | 0.347 | 7.820 | 8.546 | 9.219 |
| beta_H[8,4] | 6.735 | 0.269 | 6.200 | 6.741 | 7.205 |
| beta_H[9,4] | 7.422 | 0.450 | 6.546 | 7.406 | 8.360 |
| beta_H[10,4] | 7.530 | 0.226 | 7.112 | 7.525 | 7.985 |
| beta_H[11,4] | 9.507 | 0.191 | 9.126 | 9.510 | 9.875 |
| beta_H[12,4] | 7.241 | 0.192 | 6.860 | 7.242 | 7.626 |
| beta_H[13,4] | 9.066 | 0.141 | 8.770 | 9.070 | 9.331 |
| beta_H[14,4] | 7.834 | 0.217 | 7.416 | 7.833 | 8.279 |
| beta_H[15,4] | 9.472 | 0.225 | 9.034 | 9.475 | 9.918 |
| beta_H[16,4] | 9.414 | 0.247 | 8.960 | 9.411 | 9.892 |
| beta_H[1,5] | 8.898 | 0.159 | 8.567 | 8.904 | 9.199 |
| beta_H[2,5] | 10.672 | 0.101 | 10.479 | 10.669 | 10.879 |
| beta_H[3,5] | 10.761 | 0.155 | 10.480 | 10.755 | 11.076 |
| beta_H[4,5] | 8.352 | 0.486 | 7.410 | 8.345 | 9.327 |
| beta_H[5,5] | 5.178 | 0.631 | 3.611 | 5.260 | 6.201 |
| beta_H[6,5] | 8.969 | 0.636 | 8.031 | 8.839 | 10.361 |
| beta_H[7,5] | 6.570 | 0.349 | 5.882 | 6.561 | 7.262 |
| beta_H[8,5] | 8.251 | 0.214 | 7.884 | 8.238 | 8.698 |
| beta_H[9,5] | 8.199 | 0.444 | 7.284 | 8.205 | 9.099 |
| beta_H[10,5] | 10.039 | 0.227 | 9.579 | 10.044 | 10.492 |
| beta_H[11,5] | 11.594 | 0.221 | 11.175 | 11.591 | 12.032 |
| beta_H[12,5] | 8.604 | 0.182 | 8.263 | 8.603 | 8.972 |
| beta_H[13,5] | 10.142 | 0.129 | 9.901 | 10.140 | 10.397 |
| beta_H[14,5] | 9.249 | 0.218 | 8.844 | 9.243 | 9.692 |
| beta_H[15,5] | 11.306 | 0.238 | 10.840 | 11.309 | 11.768 |
| beta_H[16,5] | 9.836 | 0.181 | 9.479 | 9.841 | 10.180 |
| beta_H[1,6] | 10.127 | 0.244 | 9.751 | 10.091 | 10.738 |
| beta_H[2,6] | 11.473 | 0.114 | 11.251 | 11.469 | 11.702 |
| beta_H[3,6] | 10.616 | 0.157 | 10.299 | 10.623 | 10.903 |
| beta_H[4,6] | 12.906 | 0.872 | 11.178 | 12.926 | 14.571 |
| beta_H[5,6] | 5.682 | 0.658 | 4.583 | 5.644 | 7.177 |
| beta_H[6,6] | 8.740 | 0.580 | 7.442 | 8.786 | 9.834 |
| beta_H[7,6] | 10.541 | 0.607 | 9.361 | 10.554 | 11.752 |
| beta_H[8,6] | 9.524 | 0.274 | 9.038 | 9.541 | 9.972 |
| beta_H[9,6] | 8.272 | 0.763 | 6.825 | 8.267 | 9.866 |
| beta_H[10,6] | 9.142 | 0.346 | 8.411 | 9.169 | 9.758 |
| beta_H[11,6] | 10.700 | 0.363 | 9.935 | 10.730 | 11.352 |
| beta_H[12,6] | 9.371 | 0.224 | 8.948 | 9.358 | 9.845 |
| beta_H[13,6] | 11.095 | 0.151 | 10.807 | 11.093 | 11.418 |
| beta_H[14,6] | 9.915 | 0.282 | 9.341 | 9.925 | 10.447 |
| beta_H[15,6] | 10.560 | 0.418 | 9.755 | 10.564 | 11.362 |
| beta_H[16,6] | 10.592 | 0.250 | 10.054 | 10.603 | 11.076 |
| beta_H[1,7] | 10.127 | 1.270 | 6.743 | 10.415 | 11.856 |
| beta_H[2,7] | 12.113 | 0.508 | 10.995 | 12.153 | 13.025 |
| beta_H[3,7] | 10.290 | 0.660 | 8.842 | 10.350 | 11.444 |
| beta_H[4,7] | 1.426 | 4.449 | -7.072 | 1.389 | 10.292 |
| beta_H[5,7] | 5.738 | 2.168 | 1.452 | 5.849 | 9.923 |
| beta_H[6,7] | 7.201 | 3.213 | -0.883 | 8.336 | 11.071 |
| beta_H[7,7] | 7.669 | 3.063 | 1.421 | 7.663 | 13.700 |
| beta_H[8,7] | 10.885 | 1.073 | 9.171 | 10.853 | 12.648 |
| beta_H[9,7] | 5.025 | 3.979 | -3.139 | 5.126 | 12.598 |
| beta_H[10,7] | 10.016 | 1.637 | 7.196 | 9.831 | 13.668 |
| beta_H[11,7] | 11.325 | 1.783 | 8.115 | 11.119 | 15.320 |
| beta_H[12,7] | 9.799 | 0.917 | 7.730 | 9.874 | 11.379 |
| beta_H[13,7] | 11.703 | 0.714 | 10.058 | 11.763 | 12.908 |
| beta_H[14,7] | 10.626 | 0.913 | 8.766 | 10.653 | 12.317 |
| beta_H[15,7] | 13.885 | 2.186 | 9.551 | 13.894 | 18.123 |
| beta_H[16,7] | 12.849 | 1.367 | 10.483 | 12.738 | 15.863 |
| beta0_H[1] | 8.213 | 18.251 | -28.067 | 8.656 | 44.233 |
| beta0_H[2] | 10.739 | 8.137 | -5.417 | 10.688 | 27.854 |
| beta0_H[3] | 9.823 | 9.884 | -9.756 | 9.873 | 30.200 |
| beta0_H[4] | 3.950 | 177.697 | -374.155 | 6.330 | 374.062 |
| beta0_H[5] | 4.550 | 28.430 | -48.260 | 4.154 | 63.775 |
| beta0_H[6] | 5.954 | 52.749 | -107.586 | 7.264 | 121.956 |
| beta0_H[7] | 5.853 | 140.816 | -281.466 | 3.489 | 289.705 |
| beta0_H[8] | 7.065 | 37.298 | -18.636 | 6.493 | 28.961 |
| beta0_H[9] | 6.805 | 122.824 | -236.044 | 3.880 | 256.737 |
| beta0_H[10] | 8.013 | 38.091 | -70.290 | 7.958 | 83.546 |
| beta0_H[11] | 9.654 | 51.823 | -106.312 | 9.941 | 118.762 |
| beta0_H[12] | 6.495 | 11.607 | -17.296 | 6.385 | 29.894 |
| beta0_H[13] | 10.167 | 11.895 | -9.574 | 10.165 | 31.793 |
| beta0_H[14] | 7.499 | 11.384 | -16.418 | 7.419 | 30.988 |
| beta0_H[15] | 8.150 | 114.970 | -221.425 | 7.547 | 239.476 |
| beta0_H[16] | 7.681 | 29.583 | -48.506 | 7.573 | 71.512 |